Relativistic interstellar travel

You can think of the expansion of the universe (since the "big bang") as the baseline velocity and therefore time of everything in relation to each other. So from an observer sitting serinly in interstellar space above the Milky way at a universal time/speed dead stop, would see the Sol system whirl by slowly, but a star wizzing around the galactic core would be slower still. If wonder if that "time gradent" has an effect on shape of galaxies?

You mean if the relativistic effects effect the shape of the galaxy...Maybe you would see the galaxy different but the shape stays the same. Because shape isn't effected by the relativistic effects. Only how you see it.
 
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